Atkin-Lehner |
2- 3- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
37488bc |
Isogeny class |
Conductor |
37488 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
28790784 = 212 · 32 · 11 · 71 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11- 7 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-485,-4269] |
[a1,a2,a3,a4,a6] |
Generators |
[-860:99:64] |
Generators of the group modulo torsion |
j |
3086626816/7029 |
j-invariant |
L |
8.1554911868435 |
L(r)(E,1)/r! |
Ω |
1.0172997786172 |
Real period |
R |
4.0084011410723 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2343b1 112464t1 |
Quadratic twists by: -4 -3 |